Symmetric and Antisymmetric Tight Wavelet Frames

  title={Symmetric and Antisymmetric Tight Wavelet Frames},
  author={S. L. Shen},
For a given set of wavelets Ψ, we provide a general, and yet simple, method to derive a new set of wavelets Ψ′ such that each wavelet in Ψ′ is either symmetric or antisymmetric. The affine system generated by Ψ′ is a tight frame for the space L2(R) whenever the affine system generated by Ψ is so. Further, when Ψ is constructed via a multiresolution analysis, Ψ′ can also be derived from a, but possibly different, multiresolution analysis. If moreover the multiresolution analysis for constructing… CONTINUE READING